Blowup behavior of harmonic maps with finite index | |
Li, Yuxiang1; Liu, Lei1,4; Wang, Youde2,3 | |
2017-10-01 | |
Source Publication | CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS |
ISSN | 0944-2669 |
Volume | 56Issue:5Pages:16 |
Abstract | In this paper, we study the blow-up phenomena on the alpha k-harmonicmap sequences with bounded uniformly alpha k-energy, denoted by {u(alpha k) : alpha k > 1 and alpha k SE arrow 1}, from a compact Riemann surface into a compact Riemannian manifold. If the Ricci curvature of the target manifold has a positive lower bound and the indices of the alpha k-harmonic map sequence with respect to the corresponding alpha k-energy are bounded, then we can conclude that, if the blow-up phenomena occurs in the convergence of {u(alpha k)} as alpha k SE arrow 1, the limiting necks of the convergence of the sequence consist of finite length geodesics, hence the energy identity holds true. For a harmonic map sequence u(k) : (Sigma, h(k)) -> N, where the conformal class defined by h(k) diverges, we also prove some similar results. |
DOI | 10.1007/s00526-017-1211-z |
Language | 英语 |
Funding Project | Max Planck Society ; NSFC[11131007] ; NSFC[11471316] |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Mathematics |
WOS ID | WOS:000412309900005 |
Publisher | SPRINGER HEIDELBERG |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/26692 |
Collection | 数学所 |
Corresponding Author | Liu, Lei |
Affiliation | 1.Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China 2.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Beijing, Peoples R China 4.Max Planck Inst Math Sci, Inselstr 22, D-04103 Leipzig, Germany |
Recommended Citation GB/T 7714 | Li, Yuxiang,Liu, Lei,Wang, Youde. Blowup behavior of harmonic maps with finite index[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2017,56(5):16. |
APA | Li, Yuxiang,Liu, Lei,&Wang, Youde.(2017).Blowup behavior of harmonic maps with finite index.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,56(5),16. |
MLA | Li, Yuxiang,et al."Blowup behavior of harmonic maps with finite index".CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 56.5(2017):16. |
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